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zo_aWMk^sX$*6B?UA}|FWsWfZq4=E^>)~nyk74>@y@54)iVuUc@Kh1&|X2>)Ua9#?9 zFUA@tLd(GRTwoi6F(7{Jg;uk?NUfxvdtIqhrOfqlKqr2@-T{PGt;ONNOIM5jadsb; zQHGJVQD`3MZo_n~bsS+$v~eXwOAxZUY2qz`4y>gSiB+lH@rQ-OlZ5nQHsYdvh_I80 zpq2mUQuv31TD@*z;~Y zX&Q72VG>vo;WN^iSK%_Jp>_Jo=~$mBGnXsOYln)Ouo7oi9Gc8Ol6&LmVYtb0xf);! yGE3T`?6&#V0B&oETyCM%3Czp>-JgLiB?l)r-~$eY9oVL0V@IK)l6)qG@_zscuHM!F literal 0 HcmV?d00001 From 484628e2c785ec13c1206d538bd5d93c40e4438a Mon Sep 17 00:00:00 2001 From: The Open Journals editorial robot <89919391+editorialbot@users.noreply.github.com> Date: Wed, 28 Sep 2022 11:37:56 +0100 Subject: [PATCH 2/4] Creating 10.21105.joss.04705.crossref.xml --- joss.04705/10.21105.joss.04705.crossref.xml | 208 ++++++++++++++++++++ 1 file changed, 208 insertions(+) create mode 100644 joss.04705/10.21105.joss.04705.crossref.xml diff --git a/joss.04705/10.21105.joss.04705.crossref.xml b/joss.04705/10.21105.joss.04705.crossref.xml new file mode 100644 index 0000000000..56e0ad0782 --- /dev/null +++ b/joss.04705/10.21105.joss.04705.crossref.xml @@ -0,0 +1,208 @@ + + + + 20220928T103734-42385c1a905e0f07d990fe30e4263ce5597fa585 + 20220928103734 + + JOSS Admin + admin@theoj.org + + The Open Journal + + + + + Journal of Open Source Software + JOSS + 2475-9066 + + 10.21105/joss + https://joss.theoj.org/ + + + + + 09 + 2022 + + + 7 + + 77 + + + + aorsf: An R package for supervised learning using the +oblique random survival forest + + + + Byron C. + Jaeger + https://orcid.org/0000-0001-7399-2299 + + + Sawyer + Welden + + + Kristin + Lenoir + + + Nicholas M + Pajewski + + + + 09 + 28 + 2022 + + + 4705 + + + 10.21105/joss.04705 + + + http://creativecommons.org/licenses/by/4.0/ + http://creativecommons.org/licenses/by/4.0/ + http://creativecommons.org/licenses/by/4.0/ + + + + Software archive + 10.5281/zenodo.7116855 + + + GitHub review issue + https://github.com/openjournals/joss-reviews/issues/4705 + + + + 10.21105/joss.04705 + https://joss.theoj.org/papers/10.21105/joss.04705 + + + https://joss.theoj.org/papers/10.21105/joss.04705.pdf + + + + + + Random survival forests + Ishwaran + The Annals of Applied +Statistics + 3 + 2 + 10.1214/08-AOAS169 + 2008 + Ishwaran, H., Kogalur, U. B., +Blackstone, E. H., & Lauer, M. S. (2008). Random survival forests. +The Annals of Applied Statistics, 2(3), 841–860. +doi:10.1214/08-AOAS169 + + + Survival package source code +documentation + Therneau + 2022 + Therneau, T. (2022, April). Survival +package source code documentation. Retrieved from +https://github.com/therneau/survival/blob/5440691d44abea537b08aeb60153a31654d66a9b/noweb + + + Accelerated and interpretable oblique random +survival forests + Jaeger + 10.48550/ARXIV.2208.01129 + 2022 + Jaeger, B., Welden, S., Lenoir, K., +Speiser, J. L., Segar, M. W., Pandey, A., & Pajewski, N. M. (2022). +Accelerated and interpretable oblique random survival forests. arXiv. +doi:10.48550/ARXIV.2208.01129 + + + Random forests + Breiman + Machine Learning + 1 + 45 + 10.1023/A:1010933404324 + 2001 + Breiman, L. (2001). Random forests. +Machine Learning, 45(1), 5–32. +doi:10.1023/A:1010933404324 + + + On oblique random forests + Menze + Joint european conference on machine learning +and knowledge discovery in databases + 2011 + Menze, B. H., Kelm, B. M., +Splitthoff, D. N., Koethe, U., & Hamprecht, F. A. (2011). On oblique +random forests. Joint european conference on machine learning and +knowledge discovery in databases (pp. 453–469). +Springer. + + + Oblique random survival +forests + Jaeger + The Annals of Applied +Statistics + 3 + 13 + 10.1214/19-AOAS1261 + 2019 + Jaeger, B., Long, D. L., Long, D. M., +Sims, M., Szychowski, J. M., Min, Y.-I., Mcclure, L. A., et al. (2019). +Oblique random survival forests. The Annals of Applied Statistics, +13(3), 1847–1883. doi:10.1214/19-AOAS1261 + + + Development and validation of machine +learning–based race-specific models to predict 10-year risk of heart +failure: A multicohort analysis + Segar + Circulation + 24 + 143 + 10.1161/circulationaha.120.053134 + 2021 + Segar, M. W., Jaeger, B. C., Patel, +K. V., Nambi, V., Ndumele, C. E., Correa, A., Butler, J., et al. (2021). +Development and validation of machine learning–based race-specific +models to predict 10-year risk of heart failure: A multicohort analysis. +Circulation, 143(24), 2370–2383. +doi:10.1161/circulationaha.120.053134 + + + Heterogeneous oblique random +forest + Katuwal + Pattern Recognition + 99 + 10.1016/j.patcog.2019.107078 + 2020 + Katuwal, R., Suganthan, P. N., & +Zhang, L. (2020). Heterogeneous oblique random forest. Pattern +Recognition, 99, 107078. +doi:10.1016/j.patcog.2019.107078 + + + + + + From 8351e7ba2a33ddb41aa4520e4dd2339761df9afd Mon Sep 17 00:00:00 2001 From: The Open Journals editorial robot <89919391+editorialbot@users.noreply.github.com> Date: Wed, 28 Sep 2022 11:37:56 +0100 Subject: [PATCH 3/4] Creating 10.21105.joss.04705.jats --- joss.04705/10.21105.joss.04705.jats | 441 ++++++++++++++++++++++++++++ 1 file changed, 441 insertions(+) create mode 100644 joss.04705/10.21105.joss.04705.jats diff --git a/joss.04705/10.21105.joss.04705.jats b/joss.04705/10.21105.joss.04705.jats new file mode 100644 index 0000000000..675565a2fb --- /dev/null +++ b/joss.04705/10.21105.joss.04705.jats @@ -0,0 +1,441 @@ + + +

+ + + + +Journal of Open Source Software +JOSS + +2475-9066 + +Open Journals + + + +4705 +10.21105/joss.04705 + +aorsf: An R package for supervised learning using the +oblique random survival forest + + + +0000-0001-7399-2299 + +Jaeger +Byron C. + + + + + +Welden +Sawyer + + + + + +Lenoir +Kristin + + + + + +Pajewski +Nicholas M + + + + + +Wake Forest University School of Medicine + + + + +11 +5 +2022 + +7 +77 +4705 + +Authors of papers retain copyright and release the +work under a Creative Commons Attribution 4.0 International License (CC +BY 4.0) +2022 +The article authors + +Authors of papers retain copyright and release the work under +a Creative Commons Attribution 4.0 International License (CC BY +4.0) + + + +R +machine learning +supervised learning +survival +random forest + + + + + + Summary +

Risk prediction is a type of supervised learning where the goal is + to predict the probability that a person will experience an event + within a specific amount of time. This kind of prediction may be + useful in clinical settings, where identifying patients who are at + high risk for experiencing an adverse health outcome can help guide + strategies for prevention and treatment. The oblique random survival + forest (RSF) is a supervised learning technique that has obtained high + prediction accuracy in general benchmarks for risk prediction + (Jaeger + et al., 2019). However, computational overhead and a lack of + tools for interpretation make it difficult to use the oblique RSF in + applied settings.

+

aorsf is an R package with fast algorithms + to fit and interpret oblique RSFs, allowing users to obtain an + accurate risk prediction model without losing efficiency or + interpretability. aorsf supports exploration + and customization of oblique RSFs, allowing users to select the + fitting procedure for an oblique RSF or supply their own procedure + (see examples provided in documentation for + orsf_control_custom()). Whereas existing + software for oblique RSFs does not support estimation of variable + importance (VI), aorsf provides multiple + techniques to estimate VI with the added flexibilty of allowing users + to supply their own functions where applicable (see documentation for + orsf_vi()).

+
+ + Statement of need +

The purpose of aorsf is to allow oblique + RSFs to be fit and interpreted efficiently. The target audience + includes both analysts aiming to develop an accurate risk + prediction model (e.g., see Segar et al. + (2021)) + and researchers who want to conduct experiments comparing + different techniques for fitting oblique RSFs (e.g., see Katuwal, + Suganthan, & Zhang + (2020)).

+ + Related software +

The obliqueRF and + RLT R packages support oblique random forests + (RFs) for classification and regression, but not survival. The + ranger, + randomForestSRC, and + party packages support axis-based RSFs (see + Background section) but not oblique RSFs. The + obliqueRSF R package fits oblique RSFs, but + has high computational overhead, provides a limited set of tools to + interpret oblique RSFs, and does not enable customization of + routines used to fit oblique RSFs.

+
+
+ + Background +

Random forests (RFs) are large sets of de-correlated decision trees + (Breiman, + 2001). Trees in the RF may be axis-based or oblique. Axis-based + trees split data using a single predictor, creating decision + boundaries that are perpendicular or parallel to the axes of the + predictor space. Oblique trees split data using a linear combination + of predictors, creating decision boundaries that are neither parallel + nor perpendicular to the axes of their contributing predictors. The + increased flexibility of their decision boundaries allows oblique + trees to produce more controlled partitions of a predictor space + compared to their axis-based counterparts (Figure 1). + However, the added flexibility has a computational cost, as the number + of potential oblique decision boundaries to search through may be much + larger than the number of axis-based boundaries.

+ +

Decision trees with axis-based splitting (left) and + oblique splitting (right). Cases are orange squares; controls are + purple circles. Both trees partition the predictor space defined by + variables X1 and X2, but the oblique splits do a better job of + separating the two classes.

+ +
+ + Censoring +

A common challenge in risk prediction is censoring. The term + ‘censor’ indicates partial observation of something. Censoring + occurs often in medical studies that track the elapsed time from a + baseline visit to the occurrence of an event. For example, censoring + can occur if study coordinators lose contact with a participant or + the study concludes before the participant experiences the + event.

+

Decision trees can engage with censored outcomes by recursively + partitioning data using standard descriptive tests (e.g., the + log-rank test) and applying estimation techniques for censored + outcomes to generate predicted values in leaf nodes, such as the + survival curve or the cumulative hazard function + (Ishwaran, + Kogalur, Blackstone, & Lauer, 2008).

+
+
+ + Newton Raphson scoring +

The efficiency of aorsf is primarily + attributed to its use of Newton Raphson scoring to identify linear + combinations of predictor variables. aorsf uses + the same approach as the survival package to + complete this estimation procedure efficiently. Full details on the + steps involved have been made available by Therneau + (2022). + Briefly, a vector of estimated regression coefficients, + + + β̂, + is updated in each step of the procedure based on its first + derivative, + + U(β̂), + and second derivative, + + H(β̂):

+

+ + β̂k+1=β̂k+U(β̂=β̂k)H−1(β̂=β̂k) + While it is standard practice in statistical modeling to iteratively + update + + β̂ + until a convergence threshold is met, the default approach in + aorsf only completes one iteration (see + orsf_control_fast()). The rationale for this + approach is based on two points. First, while completing more + iterations reduces bias in the regression coefficients, general + benchmarking experiments have found it does not improve the + discrimination or Brier score of the oblique RSF + (Jaeger + et al., 2022). Second, computing + + U + and + + H + requires computation and exponentiation of the vector + + + Xβ̂, + where + + X + is the matrix of predictor values, but these steps can be skipped on + the first iteration if an initial value of + + + β̂=0 + is chosen, allowing for a reduction in required computation.

+
+ + Variable importance +

Estimation of VI is a common technique used for interpretation of + RFs. Permutation, a standard approach to estimate VI, measures how + much a RF’s prediction accuracy decreases after randomly permuting + values of a given variable. If the variable is important, + de-stabilizing decisions based on the variable should reduce the RF’s + prediction accuracy.

+

aorsf includes multiple functions to + estimate VI, including permutation VI and a faster approach to + estimate VI using analysis of variance + (Menze, + Kelm, Splitthoff, Koethe, & Hamprecht, 2011). In addition, + aorsf includes a novel technique for VI that is + designed for compatibility with oblique decision trees: ‘negation + importance.’ Similar to permutation, negation VI measures the + reduction in an oblique RFs prediction accuracy after de-stabilizing + decisions based on a variable. However, instead of permuting values of + a variable, negation VI flips the sign of all coefficients linked to a + variable (i.e., it negates them). As the magnitude of a coefficient + increases, so does the probability that negating it will change the + oblique RF’s predictions.

+
+ + Benchmarking +

General benchmarks of prediction accuracy, computational + efficiency, and estimation of VI using aorsf + and several other software packages are available + (Jaeger + et al., 2022). In these benchmarks, + aorsf has matched or exceeded the prediction + accuracy of obliqueRSF while running hundreds + of times faster. Additionally, simulation studies have found that + negation VI improves the oblique RSF’s ability to discriminate between + signal and noise predictors compared to existing VI techniques.

+
+ + Acknowledgements +

The development of this software was supported by the Center for + Biomedical Informatics at Wake Forest University School of Medicine + and the National Center for Advancing Translational Sciences (NCATS), + National Institutes of Health (NIH), through Grant Award Number + UL1TR001420. Dr. Pajewski was additionally supported by grant award + P30 AG021332 from the NIH. The content is solely the responsibility of + the authors and does not necessarily represent the official views of + the NIH.

+
+ + + + + + + IshwaranHemant + KogalurUdaya B + BlackstoneEugene H + LauerMichael S + + Random survival forests + The Annals of Applied Statistics + Institute of Mathematical Statistics + 2008 + 2 + 3 + 10.1214/08-AOAS169 + 841 + 860 + + + + + + TherneauTerry + + Survival package source code documentation + 202204 + 20220512 + https://github.com/therneau/survival/blob/5440691d44abea537b08aeb60153a31654d66a9b/noweb + + + + + + JaegerByron + WeldenSawyer + LenoirKristin + SpeiserJaime L. + SegarMatthew W. + PandeyAmbarish + PajewskiNicholas M. + + Accelerated and interpretable oblique random survival forests + arXiv + 2022 + https://arxiv.org/abs/2208.01129 + 10.48550/ARXIV.2208.01129 + + + + + + BreimanLeo + + Random forests + Machine Learning + Springer + 2001 + 45 + 1 + 10.1023/A:1010933404324 + 5 + 32 + + + + + + MenzeBjoern H + KelmB Michael + SplitthoffDaniel N + KoetheUllrich + HamprechtFred A + + On oblique random forests + Joint european conference on machine learning and knowledge discovery in databases + Springer + 2011 + 453 + 469 + + + + + + JaegerByron + LongD Leann + LongDustin M + SimsMario + SzychowskiJeff M + MinYuan-I + McclureLeslie A + HowardGeorge + SimonNoah + + Oblique random survival forests + The Annals of Applied Statistics + Institute of Mathematical Statistics + 2019 + 13 + 3 + 10.1214/19-AOAS1261 + 1847 + 1883 + + + + + + SegarMatthew W + JaegerByron C + PatelKershaw V + NambiVijay + NdumeleChiadi E + CorreaAdolfo + ButlerJaved + ChandraAlvin + AyersColby + RaoShreya + others + + Development and validation of machine learning–based race-specific models to predict 10-year risk of heart failure: A multicohort analysis + Circulation + Am Heart Assoc + 2021 + 143 + 24 + 10.1161/circulationaha.120.053134 + 2370 + 2383 + + + + + + KatuwalRakesh + SuganthanPonnuthurai Nagaratnam + ZhangLe + + Heterogeneous oblique random forest + Pattern Recognition + Elsevier + 2020 + 99 + 10.1016/j.patcog.2019.107078 + 107078 + + + + + +
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